# Ranking Abstraction as Companion to Predicate Abstraction

@inproceedings{Balaban2005RankingAA, title={Ranking Abstraction as Companion to Predicate Abstraction}, author={Ittai Balaban and Amir Pnueli and Lenore D. Zuck}, booktitle={FORTE}, year={2005} }

Predicate abstraction has become one of the most successful methodologies for proving safety properties of programs. Recently, several abstraction methodologies have been proposed for proving liveness properties. This paper studies “ranking abstraction” where a program is augmented by a nonconstraining progress monitor, and further abstracted by predicate-abstraction, to allow for automatic verification of progress properties. Unlike most liveness methodologies, the augmentation does not…

## 9 Citations

### Modular Ranking Abstraction

- Computer ScienceInt. J. Found. Comput. Sci.
- 2007

It is shown how the constructs necessary for a deductive proof of an arbitrary LTL formula can be automatically extracted from a successful application of the ranking abstraction method.

### Ranking Abstractions

- Computer ScienceESOP
- 2008

An abstract interpretation algorithm for proving that a program terminates on all inputs that abstracts information that is usually not important for proving termination such as program invariants and yet it distinguishes between different reasons for termination which are not usually maintained in existing abstract domains.

### Proving termination using abstract interpretation

- Computer Science
- 2010

This thesis develops a series of abstract interpreters for proving the termination of imperative programs using metric spaces to model the semantics of infinite computations for programs with recursion over the unit type so that they can be designed in a systematic manner.

### Infinite-State Liveness-to-Safety via Implicit Abstraction and Well-Founded Relations

- Computer ScienceCAV
- 2016

This work extends liveness-to-safety, a prominent approach in the finite-state case, by means of implicit abstraction, to effectively prove the absence of abstract fair loops without explicitly constructing the abstract state space.

### Symbolic shape analysis

- Computer Science
- 2009

The goal of program verification is to ensure software reliability by establishing a mathematical proof which guarantees that the software behaves correctly. Program analysis tools assist the…

### Metric Spaces and Termination Analyses

- Computer ScienceAPLAS
- 2010

The power of the framework is illustrated by providing an instance that can automatically prove the termination of programs with general recursion, and a set of conditions for determining when an abstract interpreter is sound for analysing liveness properties are identified.

### Proving Liveness Property under a Mixture of Strengthened Compassion and Compassion Requirements †

- Computer Science
- 2012

It is shown how the constructs necessary for deductive proofs of liveness properties can be automatically extracted and an algorithm for automatically deriving deductive proof constructs is shown.

### Syntax-Guided Termination Analysis

- Computer ScienceCAV
- 2018

New algorithms for proving program termination and non-termination using syntax-guided synthesis are presented, and the implementation, called FreqTerm, significantly outperforms state-of-the-art on proving non- termination of a class of programs arising from large-scale Event-Condition-Action systems.

### Auxiliary Constructs for Proving Liveness in Compassion Discrete Systems

- MathematicsATVA
- 2010

This paper presents an approach which extends the work in [2] with compassion requirements, and is illustrated on two examples of sequential and concurrent programs.

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